Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

If $48=12(mod\, n)$m what is the values of n?

Options:

$n= 4,5,6, 9, , 12, 24, 48$

$n=3, 4, 5,7, 10, 20, 40$

$n= 2, 3, 4, 6, 9, 12, 18, 36$

$n= 1, 2, 3, 5, 8, 16, 32 $

Correct Answer:

$n= 2, 3, 4, 6, 9, 12, 18, 36$

Explanation:

The correct answer is option (3) : $n= 2, 3, 4, 6, 9, 12, 18, 36$

$48≡12 (mod\, n)$

$48-12 $ is divisible by n.

$36$ is divisible by n.

or n is a divisor of 36

$n= 2, 3, 4, 6, 9, 12, 18, 36$